Answer: arcsin x.
- A arcsin x
- B arccos x
- C arctan x
- D arccot x
Correct answer: A. arcsin x
Explanation: sin⁻¹(x) and arcsin x denote the same inverse-sine function.
The graph of sin⁻¹x is confined to a narrow domain [-1,1] (since sine itself only takes values in that range) and range [-π/2,π/2] (the principal value branch chosen to make sine one-one and invertible there).
Concept context
Restricting trig functions to make them invertible, the principal value branches of sin-inverse, cos-inverse, tan-inverse, and friends, and the key identities relating them.